private void MidOrder(RBNode <T> current)
{
if (current == null)
{
return;
}
MidOrder(current.Lchild);
orderString += current.Data.ToString() + " ";
MidOrder(current.Rchild);
}
public void insert(RBNode <T> node)
{
RBNode <T> current = null;//表示最后node的父节点
RBNode <T> x = this.root;
while (x != null)
{
current = x;
int cmp = node.Data.CompareTo(x.Data);
if (cmp < 0)
{
x = x.Lchild;
}
else
{
x = x.Rchild;
}
}
node.Parent = current;
if (current != null)
{
int cmp = node.Data.CompareTo(current.Data);
if (cmp < 0)
{
current.Lchild = node;
}
else
{
current.Rchild = node;
}
}
else
{
this.root = node;
}
insertFixUp(node);
}
public RBNode(T key)
{
Data = key;
Color = true;
Lchild = Rchild = Parent = null;
}
//node表示待修正的节点，即后继节点的子节点（因为后继节点被挪到删除节点的位置去了）
private void removeFixUp(RBNode <T> node, RBNode <T> parent)
{
RBNode <T> other;
while ((node == null || !node.Color) && (node != this.root))
{
if (parent.Lchild == node)
{ //node是左子节点，下面else与这里的刚好相反
other = parent.Rchild; //node的兄弟节点
if (other.Color)
{ //case1: node的兄弟节点other是红色的
other.Color = false;
parent.Color = true;
LeftRotate(parent);
other = parent.Rchild;
}
//case2: node的兄弟节点other是黑色的，且other的两个子节点也都是黑色的
if ((other.Lchild == null || !other.Lchild.Color) &&
(other.Rchild == null || !other.Rchild.Color))
{
other.Color = true;
node = parent;
parent = parentOf(node);
}
else
{
//case3: node的兄弟节点other是黑色的，且other的左子节点是红色，右子节点是黑色
if (other.Rchild == null || !other.Rchild.Color)
{
other.Lchild.Color = false;
other.Color = true;
RightLotate(other);//RightRotate(other);
other = parent.Rchild;
}
//case4: node的兄弟节点other是黑色的，且other的右子节点是红色，左子节点任意颜色
other.Color = parent.Color;
parent.Color = false;
other.Rchild.Color = false;
LeftRotate(parent);
node = this.root;
break;
}
}
else
{ //与上面的对称
other = parent.Lchild;
if (other.Color)
{
// Case 1: node的兄弟other是红色的
other.Color = false;
parent.Color = true;
RightLotate(parent);
other = parent.Lchild;
}
if ((other.Lchild == null || !other.Lchild.Color) &&
(other.Rchild == null || other.Rchild.Color))
{
// Case 2: node的兄弟other是黑色，且other的俩个子节点都是黑色的
other.Color = true;
node = parent;
parent = parentOf(node);
}
else
{
if (other.Lchild == null || !other.Lchild.Color)
{
// Case 3: node的兄弟other是黑色的，并且other的左子节点是红色，右子节点为黑色。
other.Rchild.Color = false;
other.Color = true;
LeftRotate(other);
other = parent.Lchild;
}
// Case 4: node的兄弟other是黑色的；并且other的左子节点是红色的，右子节点任意颜色
other.Color = parent.Color;
parent.Color = false;
other.Lchild.Color = false;
RightLotate(parent);
node = this.root;
break;
}
}
}
if (node != null)
{
node.Color = false;
}
}
public RBNode <T> parentOf(RBNode <T> node)
{ //获得父节点
return(node != null ? node.Parent : null);
}
private void remove(RBNode <T> node)
{
RBNode <T> child, parent;
Boolean color;
//被删除的节点 左右子节点都不为空 的情况
if ((node.Lchild != null) && (node.Rchild != null))
{
//先找到被删除节点的后继节点，用它来取代被删除节点的位置
RBNode <T> replace = node;
//1)获取后继节点
replace = replace.Rchild;
while (replace.Lchild != null)
{
replace = replace.Lchild;
}
// 2). 处理“后继节点”和“被删除节点的父节点”之间的关系
if (parentOf(node) != null)
{
if (node == parentOf(node).Lchild)
{
parentOf(node).Rchild = replace;
}
else
{
parentOf(node).Rchild = replace;
}
}
else
{
this.root = replace;
}
//3）处理 后继节点的子节点 和 被删除节点的子节点 之间的关系
child = replace.Rchild;//后继节点肯定不存在左子节点
parent = parentOf(replace);
color = replace.Color;
if (parent == node)
{
parent = replace;
}
else
{
if (child != null)
{
child.Parent = parent;
}
parent.Lchild = child;
replace.Rchild = node.Rchild;
node.Rchild.Parent = replace;
}
replace.Parent = node.Parent;
replace.Color = node.Color;
replace.Lchild = node.Lchild;
node.Lchild = node.Lchild;
node.Lchild.Parent = replace;
if (!color)
{
removeFixUp(child, parent);
}
node = null;
return;
}
}
private void insertFixUp(RBNode <T> node)
{
RBNode <T> parent, gparent;
while (((parent = parentOf(node)) != null) && parent.Color)
{
gparent = parentOf(parent);
if (parent == gparent.Lchild)
{
RBNode <T> uncle = gparent.Rchild;
if (uncle != null && uncle.Color)
{
parent.Color = false;
uncle.Color = false;
gparent.Color = true;
//setBlack(parent);
//setBlack(uncle);
//setRed(gparent);
node = gparent;
continue;
}
if (node == parent.Rchild)
{
LeftRotate(parent);
RBNode <T> tmp = parent;
parent = node;
node = tmp;
}
parent.Color = false;
gparent.Color = true;
//setBlack(parent);
//setRed(gparent);
RightLotate(gparent);
}
else
{
RBNode <T> uncle = gparent.Lchild;
if (uncle != null && uncle.Color)
{
parent.Color = false;
uncle.Color = false;
gparent.Color = true;
//setBlack(parent);
//setBlack(uncle);
//setRed(parent);
node = gparent;
continue;
}
if (node == parent.Lchild)
{
RightLotate(parent);
RBNode <T> tmp = parent;
parent = node;
node = tmp;
}
parent.Color = false;
gparent.Color = true;
//setBlack(parent);
//setRed(gparent);
LeftRotate(gparent);
}
}
this.root.Color = false;
//setBlack(this.root);
}
public void insert(T key)
{
RBNode <T> node = new RBNode <T>(key);
insert(node);
}